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Finding the Fourth Proportional to 11,940.69, 17,896.19 and 6,380.31

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Solution

The fourth proportional to 11,940.69, 17,896.19 and 6,380.31 is: 9,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.69 : 17,896.19 = 6,380.31 : x
  2. Step 2: Convert to fraction form
    11,940.69/17,896.19 = 6,380.31/x
  3. Step 3: Cross multiply
    11,940.69x = 17,896.19 × 6,380.31
  4. Step 4: Simplify right side
    11,940.69x = 114,183,208.12
  5. Step 5: Solve for x
    x = 114,183,208.12/11,940.69
  6. Step 6: Final answer
    x = 9,562.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.